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The number 16244

16244 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 31 × 131. Divisors (12): 1, 2, 4, 31, 62, 124, 131, 262, 524, 4061, 8122, 16244.

Number

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How to work it out

  1. 1

    16244 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    16244 is composite. Its prime factorisation is

    16244=22×31×13116244 = 2^{2} \times 31 \times 131
  3. 3

    The divisors add up to 29568; without 16244 itself that is 13324, so 16244 is deficient (13324 is less than 16244). Euler's totient φ(16244) = 7800 numbers up to 16244 share no factor with it.

  4. 4

    The digits of 16244 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16244 = 2^{2} \times 31 \times 131 \]

16244 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors29568
Euler totient φ(n)7800
Square263867536
Cube4286264254784
Square root127.451952 (= 2√4061)
Digit sum / digital root17 / 8
Collatz steps to 140
Scientific notation1.6244 × 10410^{4}

16244 in other forms

FormValue
In wordssixteen thousand two hundred and forty-four
Binary (base 2)11111101110100
Octal (base 8)37564
Hexadecimal (base 16)3F74
Base 3211021122
As time16244 seconds = 4 h 30 min 44 s

Is 16244 divisible by 2 to 12?

DivisorAnswerRule
2Yes (16244 ÷ 2 = 8122)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (16244 ÷ 4 = 4061)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 16244 a prime number?

No. 16244 = 222^{2} × 31 × 131, so it is divisible by 2.

What are the factors of 16244?

1, 2, 4, 31, 62, 124, 131, 262, 524, 4061, 8122, 16244.

What is 16244 in binary?

11111101110100 (hexadecimal 3F74, octal 37564).

What is the square root of 16244?

About 127.4520, exactly 2√4061.

Is 16244 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 16244?

It is a composite number with 12 divisors.

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    16244: is it prime? Factors, square root, binary, Roman numeral | WordGPT